This paper looks at the semantics, semantic measures and definitions a
imed at the semantics of a Linguistically Represented system of Knowle
dge (LRK), treated as a semantically closed system. The knowledge is v
iewed as three complementary subsystems: language of knowledge, knowle
dge structure, and knowledge operators. The semantics of LRK is contai
ned within the semantic interpretation of the syntactic structures of
LRK. To operate and utilize LRK requires that all interfaces, includin
g knowledge itself, be carried out in, and only in, English. The conce
pt of LRK has nothing to do with so-called databases. The concept of a
linguistically represented system of knowledge keeps all its content
in the form of linguistic structures. LRK systems utilize their own op
erators for restructuring, extracting, simplification, merging, decomp
osition, integration, summary and other operations. The presented theo
ry examines modifications and substitutions as primary semantic operat
ions. It defines notions, such as, semantic neighborhood, semantic pro
ximity, semantic primitives and semantic units. The theory also introd
uces several semantic measures. The theory is the basis for the implem
entation of a knowledge system shell called CORTEX(TM), built with the
computer language NATLANG, designed for processing English by MARBLE
SOFTWARE.